A mechanic uses a chain hoist pulley system to lift a motor from a car. To raise the motor a distance of 1.5 m, the mechanic must pull 7.5 m of chain through the system. What is the mechanical advantage of the chain hoist pulley system?
7.5/1.5 = 5
To find the mechanical advantage of the chain hoist pulley system, we need to use the formula:
Mechanical Advantage = Distance Output / Distance Input
In this case, the distance output is the distance the motor is lifted, which is 1.5 m. The distance input is the length of chain pulled through the system, which is 7.5 m.
So, the mechanical advantage is:
Mechanical Advantage = 1.5 m / 7.5 m
Simplifying this expression, we get:
Mechanical Advantage = 1/5
Therefore, the mechanical advantage of the chain hoist pulley system is 1/5.